arXiv:1808.00224 Abstract | arXiv Analytics

arXiv:1808.00224 [math.AP]Abstract References Reviews Resources

Well-posedness for a general class of differential inclusions

Published 2018-08-01Version 1

We consider an abstract class of differential inclusions, which covers differential-algebraic and non-autonomous problems as well as problems with delay. Under weak assumptions on the operators involved, we prove the well-posedness of those differential inclusions in a pure Hilbert space setting. Moreover, we study the causality of the associated solution operator. The theory is illustrated by an application to a semistatic quasilinear variant of Maxwell's equations.

Categories: math.AP, math.FA

Subjects: 34G25, 46N20, 35F60

Keywords: differential inclusions, general class, well-posedness, semistatic quasilinear variant, associated solution operator

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